Answer:
[tex]f^{-1}[/tex](x) = 0.5x + 2
Step-by-step explanation:
let y = f(x) and rearrange making x the subject , that is
y = 2x - 4 ( add 4 to both sides )
y + 4 = 2x ( divide both sides by 2 )
[tex]\frac{y+4}{2}[/tex] = x
Change y back into terms of x with x = [tex]f^{-1}[/tex] (x)
[tex]f^{-1}[/tex] (x) = [tex]\frac{x+4}{2}[/tex] = 0.5x + 2
Answer: F -1(x) = 0.5 x + 2
Step-by-step explanation:
Just took the test on edmentum and got a 100
Fifthteen of student took a math test. Eight student scored 75, five scored 82 and two scored 95. What was the average of there score
Answer:
84
Step-by-step explanation:
To find the average of the data or the mean, add 75, 82, and 95 which is 252, then 252 divided by 3 = 84. Hopefully, this helps :)
4.
Solve the equation by completing the square. Round to the nearest hundredth if necessary. 4x2 + 8x – 32 = 0
A. 2.65, 3
B. 2, –4
C. 2, –10
D. –52, 44
Answer:
x = 2, -4
Step-by-step explanation:
4x^2 + 8x – 32 = 0
Divide by 4
x^2 + 2x – 8 = 0
Add 8 to each side
x^2 + 2x = 8
Take the coefficient of x
2
Divide by 2
2/2 =1
Square it
1^2=1
Add it to each side
x^2+2x+1 = 8+1
(x+1)^2 = 9
Take the square root of each side
sqrt((x+1)^2) = ±sqrt(9)
x+1 = ±3
Subtract 1 from each side
x = -1±3
x = -1+3, -1-3
x = 2, -4
Answer:
B
Step-by-step explanation:
Given
4x² + 8x - 32 = 0 ( divide through by 4 )
x² + 2x - 8 = 0 ( add 8 to both sides )
x² + 2x = 8
To complete the square
add ( half the coefficient of the x- term)² to both sides
x² + 2(1)x + 1 = 8 + 1
(x + 1)² = 9 ( take the square root of both sides )
x + 1 = ± [tex]\sqrt{9}[/tex] = ± 3 ( subtract 1 from both sides )
x = - 1 ± 3
Then
x = - 1 + 3 = 2
x = - 1 - 3 = - 4
The result of adding 14 to twice a number is the same as subtracting 8 from four times that number. Find that number.
Answer:
11
Step-by-step explanation:
Let the number be x
2x + 14 = 4x - 8 Add 8 to both sides
2x + 14 + 8 = 4x Combine
2x + 22 = 4x Subtract 2x
22 = 2x Divide by 2
11 = x
I need help ASAP!!! Please explain your answer
Answer:
below
Step-by-step explanation:
Use the formula πr^2h to find volume of a cylinder
= π(11)^2(12)
= 4561.59253...
Rounding to the nearest 10th
= 4561.6 mi^3
Hope this helps!
Answer:
Step-by-step explanation:
Volume = pi * r^2 * h
r = 11
h = 12
Volume = pi * 11^2 * 12
Volume = 3.14 * 121 * 12
Volume = 4501.2 mi^3
A cylindrical paint can has a diameter of 12 centimeters and height of centimetrs which is closest to the volume of the paint can in cubic centimeters
Answer:
The correct answer is "1808.64 cm³".
Step-by-step explanation:
Seems that the given query is incomplete. Below find the attachment of the complete problem.
Given:
Diameter,
d = 12 cm
Radius,
r = [tex]\frac{d}{2}[/tex]
= [tex]\frac{12}{2}[/tex]
= [tex]6 \ cm[/tex]
Height,
h = 16 cm
As we know,
The volume of cylinder is:
= [tex]\pi r^2 h[/tex]
By substituting the values, we get
= [tex]3.16\times (6)^2\times 16[/tex]
= [tex]3.14\times 36\times 16[/tex]
= [tex]1808.64 \ cm^3[/tex]
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Answer:
Option B, $2020.00
Step-by-step explanation:
Volume of the pool,
12×5×14.5+4×5×7
= 1010 ft³
each cubit foot costs $2, so 1010 ft³ will cost,
1010×$2
= $2020
Watch help video
Which value of x satisfies the equation
Answer:
-1
Step-by-step explanation:
1.25(x+1.5)=0.625
(x+1.5)=0.5
x=-1
C = (5,6) and D = (2,2)
CD = [ ? ]
HINT: Use the distance formula:
d = (x2 – Xı)2 + (y2 - Yı)2
Answer:
5
Step-by-step explanation:
[tex]\sqrt{(2-5)^2+(2-6)^2} = \sqrt{(-3)^2+(-4)^2} = \sqrt{(9+16)} = \sqrt{25} = 5[/tex]
I need help ASAP!! Please explain how to solve the problem
Answer:
Surface area=114 cm^2
Step-by-step explanation:
Surface area of a cuboid is given be 2(lb+bh+lh). ATQ, l=3, h=3, b=8. Plugging them into the formula, we will get surface area=114 cm^2
nick was scuba diving at -32 1/2 feet if he descends another 8 3/5 feet what is his location ?
Answer:
-41 1/10
Step-by-step explanation:
subtract the two numbers may i get brainliest plz
This is a really simple fraction problem. All we have to do is realize that, because he is descending, the [tex]8\frac{3}{5}[/tex] is actually negative, so we get [tex]-32\frac{1}{2}-8\frac{3}{5}=-41\frac{1}{10}[/tex] which can also equal -41.1
The surface area of a sphere is a function of the radius of the sphere: A = 41182.
Evaluate the function for a basketball with a radius of 11.5 cm.
The value of the function of the surface area of a sphere when the radius is 11.5 cm is approximately 1661.9 cm²
The process of arriving at the above value is as follows;
The known parameter
The function of the radius representing the surface area of a sphere is, f(r) = A = 4·π·r²
The radius of the basketball, r = 11.5 cm
Required;
To evaluate the function, f(r), for the basketball
Method;
The process of evaluating a function, is to find the value of the function at a given value of the input or independent variable of the function
The input variable is the variable that determines the output value of the function, it is the variable which is the function is about
In the question, the function given is dependent on the radius, r
To evaluate the value of the function, we substitute the value of r in the equation of the functionTherefore;
When r = 11.5 cm (the radius of the basketball), from the function, the surface area of the basketball, A = f(11.5) = 4 × π × (11.5 cm)² ≈ 1661.9 cm²
Therefore;
The evaluation of the function which is the value of the function, f(r) = A,
when the radius, r, is 11.5 cm, which is the surface area of the spherical
basketball, is A ≈ 1661.9 cm²
Learn more about evaluation of functions here;
https://brainly.com/question/11743679
what is the difference between prime factors and odd numbers
Answer:
prime factors are factors of a number that are prime numbers, (meaning they can only be divided by 1 and itself), while odd numbers are numbers that are odd..
all odd numbers have prime factors but not all prime factors are odd numbers
The sporting goods store sells 6 different brands of tennis rackets and 4 different brands of tennis balls. If Amanda buys one brand of tennis racket and one brand of tennis balls, how many different combinations of brands can she buy ?
10
12
16
24
Answer:
24
Step-by-step explanation:
There are 6 different types of rackets and 4 different types of balls.
To determine the number of different combinations
6 rackets * 4 balls
24 combinations
Answer:
24
Step-by-step explanation:
please answer the following question(math question)
don't spam
Answer:
well hlo again ( ˘ ³˘)♥ (◍•ᴗ•◍)❤
-6 +8(11 - 4)+ 32
Step 1
= -6 + 8(7) +32
Step 2
= -6 + 8(7) +9
Step 3
= 2(7) +9
Step 4
= 14 + 9
Step 5
= 23
Where is the mistake
Answer:
See below
Step-by-step explanation:
Step 2 and Step 3
Mistake #1: From step 1 to step 2 the 32 randomly changed to 9
Mistake #2: According to PEMDAS multiplication and division comes before addition and subtraction.
During step 3, 8 was added to -6 before 8 was multiplied by 7 which is incorrect as the multiplication should come first.
The real answer should be....
-6 +8(11 - 4)+ 32
Evaluate using PEMDAS
Parenthesis
Exponents
Multiplication and division (left to right)
Addition and Subtraction (left to right)
-6 +8(11 - 4)+ 32
First do the operations inside of the parenthesis. ( Subtract 4 from 11 )
-6 + 8(7) + 32
There are no exponents so we go to the next step.
Next is multiplication.
Multiply 8 and 7
- 6 + 56 + 32
Finally we do the addition and subtraction going left to right.
First add 56 to -6
50 + 32
Then add 50 and 32
= 82
Answer: Step 2 and Step 3.
From step 1 to step 2 the "32" unexpectedly changes into a "9" for no reason.
Step 3 also has a mistake due to misusing PEMDAS, as 6 is removed from the 8(7) to get 2. The 6 should be removed from the 32 instead.
Correct step-by-step explanation:
[tex]-6 + 8(11-4) + 32\\=-6+8(7)+32\\=-6+8(7)+32\\=8(7)+26=56+26\\=82[/tex]
Someone help pleasee
Answer: 2
Step-by-step explanation: if you use a calculator or you could use paper and pencil write out the expression and you should get 2
Sally decides to buy quarts of ice cream at $5 each and boxes of pizza at $10 each for her softball team.
Part 1) Write an algebraic expression that represents the total cost of the food if Sally buys x quarts of ice cream and y boxes of pizza.
Part 2) What is the total cost of Sally’s purchase if x=4 and y=5? Be sure to show your work.
Answer:
5x + 10y
5*4 + 10*5
20+50 = $70
Step-by-step explanation:
The numbers 7, 23, and 25 form a Pythagorean triple. T/F
Answer:
If you like my answer than please mark me brainliest thanks
False because members of Pythagorean triplet 2m,m²+1, m²-1
What is the y intercept of the given graph?
Answer:
The answer would be -2.
Step-by-step explanation:You have to look at where the line is hitting.It has to be perfectly on the corners of the square. The bottom of the y-intercept is always negative and the top is always positive but for the x-intercept the right side is positive and the left side is negative. I hope that helped you!!
Hailey is making pizzas for a pizza party. Each pizza requires 1/2 pound of cheese. How many pounds of cheese does she need to make 19 pizzas? Express your answer in simplest form.
Cheese required for 1 pizza = ½ pound
So, cheese required for 19 pizzas
= 19 × ½ pounds
= 19/2 pounds
= 9½ pounds
So, Hailey needs 9½ pounds of cheese to make 19 pizzas.
The solution is 9.5 pounds
The number of pounds of cheese Hailey need to make 19 pizzas is 9.5 pounds
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the number of pounds of cheese for 19 pizzas be A
Now , the equation will be
The number of pounds of cheese for 1 pizza = 1/2 pounds
So , the number of pounds of cheese for 19 pizzas = 19 x number of pounds of cheese for 1 pizza
Substituting the values in the equation , we get
The number of pounds of cheese for 19 pizzas = 19 x ( 1/2 )
The number of pounds of cheese for 19 pizzas = 19/2
The number of pounds of cheese for 19 pizzas = 9.5 pounds
Therefore , the value of A is 9.5 pounds
Hence , the number of pounds of cheese is 9.5 pounds
To learn more about equations click :
https://brainly.com/question/19297665
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What is the measure of angle x?
Answer:
93+52+x=180(sum of angels of a triangle)
145+x=180
x=180-145
x=35
Answer:
D. 35
Step-by-step explanation
Every triangle equals to 180 degrees
Add the 2 angles, 93 and 52 which equals 145
Now subtract 180 and 145
Therefore, you should get 35
help solve for b it is for trigonometry
Answer:
[tex]b\approx 21.435332[/tex]
Step-by-step explanation:
The Law of Sines is a property that relates the sides and angles of any triangle. This property states the following:
[tex]\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}[/tex]
Where (A), (B), and (C) are the angles of the triangles. The sides (a), (b), and (c) are the sides opposite their respective angles, (side (a) is the opposite angle (<A); side (b) is the opposite angle (<B); and side (c) is the opposite angle (<C)). Substitute the given information into the formula and solve for the unknown:
[tex]\frac{sin(A)}{a}=\frac{sin(B)}{b}=\frac{sin(C)}{c}[/tex]
[tex]\frac{sin(A)}{a}=\frac{sin(72)}{b}=\frac{sin(53)}{18}[/tex]
Remove the parts of the equation that are not relevant to the problem,
[tex]\frac{sin(A)}{a}=\frac{sin(72)}{b}=\frac{sin(53)}{18}[/tex]
[tex]\frac{sin(72)}{b}=\frac{sin(53)}{18}[/tex]
Take the cross product of the proportion,
[tex]\frac{sin(72)}{b}=\frac{sin(53)}{18}[/tex]
[tex]18(sin(72))=b(sin(53))[/tex]
Inverse operations,
[tex]18(sin(72))=b(sin(53))[/tex]
[tex]b=\frac{18(sin(72)}{sin(53)}[/tex]
[tex]b\approx 21.435332[/tex]
Does the alligator eat 14/7 or 2/4
Answer:
Wait, I'm confused what?
Step-by-step explanation:
I don't think this provides enough info, is there a picture you forgot to send?
solve for x. you must show all of your work to receive credit.
Answer:
x = 6
Step-by-step explanation:
The tangent- tangent angle WVU is half the difference of the measure of the intercepted arcs. , that is
5x + 17 = [tex]\frac{1}{2}[/tex] (37x + 5 - (23x - 5) )
5x + 17 = [tex]\frac{1}{2}[/tex] (37x + 5 - 23x + 5)
5x + 17 = [tex]\frac{1}{2}[/tex] (14x + 10) ← multiply both sides by 2 to clear the fraction )
10x + 34 = 14x + 10 ( subtract 14x from both sides )
- 4x + 34 = 10 ( subtract 34 from both sides )
- 4x = - 24 ( divide both sides by - 4 )
x = 6
plssss help i want it now
simplify (b^4)^3 because the nun of the answers answer my question
Answer:
b^12
Step-by-step explanation:
(b^4)^3
We know that x^y^z = x^(y*z)
b^4^3 = b^*4*3) = b^12
Can all polynomials be factored the same way? Why or why not?
Answer:
No, they cannot. Some polynomials are different than others and can be factored in different ways. Some can't even be factored at all.
Perfect Square Trinomials have a pattern with factoring and can be written as one binomial squared.
Difference of Squares has a pattern of (x - y)(x + y).
Difference/Sum of Cubes have formulas for their patterns.
Prime Polynomials simply cannot be factored.
Step-by-step explanation:
Brainliest, please! (Almost an Ace)
Use the circle to represent the following situation and show how you came up with the answer.
For lunch, you stop at a Pizza Express, where they sell pizza whole or by the slice. The area of one slice of a 16" pizza is 33.49in².
✏️ What angle does one slice make?
Answer:
Step-by-step explanation:
Write a linear equation that goes through the points (-8,-1) and (-6,5) with a
y-intercept of 23.
In the number 9663 which places contain digits where one dogit is 10 times as great as the other?
Answer: Hundreds and tens place values (the two copies of '6')
Explanation:
We're looking for where the digits are the same, which would be those two copies of '6'
The first 6 on the left is in the hundreds place. It represents 600
The other 6 is in the tens place, and it represents 60
The jump from 60 to 600 is "times 10".